Rob:
My experience is with Gloriosa superba 'Rothschildiana', grown as a potted plant---which had dozens of flowers each year and usually ripened it's seed regularly (with frosts in September in Ontario, Canada).
The seed is a warm germinator, survives dry storage well (even into it's second year in open; room conditions), longer if the dry seed is kept in the freezer in a paper bag.
So, you can save the seed, and have a long period in which to decide whether to sow it. And when you do, keep your sowing at warm (germination is normally within a month). Of course, it's a long process from seed to mature plants.
Hope this helps,
Kristl